Finding the Third Proportional to 10,640 and 12,464

Step by Step Solution

1. Step 1: Write the proportion equation
   10,640 : 12,464 = 12,464 : x
2. Step 2: Convert to fraction form
   10,640/12,464 = 12,464/x
3. Step 3: Cross multiply
   10,640x = 12,464 × 12,464
4. Step 4: Simplify right side
   10,640x = 155,351,296
5. Step 5: Solve for x
   x = 155,351,296/10,640
6. Step 6: Final answer
   x = 14,600.69